 | Morris Kline - Mathematics - 1990 - 434 pages
...theorems for spherical triangles analogous to what Euclid proved for plane triangles. Thus the sum of two sides of a spherical triangle is greater than the third side and the sum of the angles of a triangle is greater than two right angles. Equal sides subtend equal angles.... | |
 | Haym Kruglak, John Moore, Ramon Mata-Toledo - Mathematics - 1998 - 508 pages
...to two right angles. 2. In every triangle the sum of any two sides is greater than the third side; the difference of any two sides is less than the third side. 3. The angles opposite equal sides are equal, and conversely. 4. The largest angle in a triangle lies... | |
 | 288 pages
...half-planes, from the line OA, containing the sides AB, AC. Similarly for the angles at B, C. Fig. 95 94. The sum of any two sides of a spherical triangle is greater than the third side, and the sum of the three sides is less than the circumference of a great circle. 95. The sum of the angles... | |
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The sum of any two sides of a spherical triangle is greater than the third side, and their difference is less than the third side. 
